| Speaker: | Alan Weinstein (UC Berkeley) |
|---|---|
| Title: | Geometric and algebraic Poisson modules |
| Date (JST): | Thu, Apr 14, 2016, 15:30 - 17:00 |
| Place: | Lecture Hall |
| Abstract: |
A "module'' over a Poisson manifold P could be a Poisson map to P from a symplectic manifold, a vector bundle over P with a flat contravariant connection, or a vector space with a representation of the Poisson algebra of functions on P. I will discuss the relations between these notions and raise some questions, in particular that of whether there is a reasonable definition of "projective module''. The talk will be essentially a (selective) survey of work on this subject, with some new questions raised. |
| Remarks: | <Reference> David Li-Bland and Alan Weinstein Selective Categories and Linear Canonical Relations SIGMA 10 (2014), 100, 31 pages Contribution to the Special Issue on Poisson Geometry in Mathematics and Physics arXiv:1401.7302 http://dx.doi.org/10.3842/SIGMA.2014.100 Jonathan Lorand and Alan Weinstein (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces SIGMA 11 (2015), 072, 10 pages Contribution to the Special Issue on Poisson Geometry in Mathematics and Physics arXiv:1503.00169 http://dx.doi.org/10.3842/SIGMA.2015.072 Jonathan Lorand and Alan Weinstein Decomposition of (Co)isotropic Relations arXiv:1509.04035 |
